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advanced-mathA radioactive substance has a half-life of 5 years. If you start with 80 grams, how much remains after 10 years?
A
20 grams
B
40 grams
C
10 grams
D
5 grams
Correct Answer: A
Choice A is the correct answer. Apply the half-life concept.
- Half-lives: 10 years ÷ 5 years = 2 half-lives.
- After 1st half-life (5 years): grams.
- After 2nd half-life (10 years): grams.
- Formula: .
💡 Strategic Tip: Number of half-lives = elapsed time ÷ half-life period.
Choice B is incorrect because this is after only 1 half-life (5 years). Choice C is incorrect because this would be after 3 half-lives (15 years). Choice D is incorrect because this would be after 4 half-lives (20 years).